In a loop-the-loop ride a car goes around a vertical, circular loop at a constant speed. The car has a mass m = 284 kg and moves with speed v = 16.68 m/s. The loop-the-loop has a radius of R = 11.8 m. 1) What is the magnitude of the normal force on the care when it is at the bottom of the circle? (But as the car is accelerating upward.) N Submit 2) What is the magnitude of the normal force on the car when it is at the side of the circle (moving vertically upward)? N Submit 3) What is the magnitude of the normal force on the car when it is at the top of the circle? wÍ Submit 4) Compare the magnitude of the cars acceleration at each of the above locations: O abottom = aside = atop O abottom < aside atop O abottom > aside > atop Submit 5) What is the minimum speed of the car so that it stays in contact with the track at the top of the loop? m/s Submit

A 170 g ball on a 60-cm-long string is swung in a vertical circle about a point 200 cm above the floor. The tension in the string when the ball is at the very bottom of the circle is 4.9 N. At the very bottom of the circle, a very sharp knife is suddenly inserted, as shown in the figure (Figure 1), to cut the string directly below the point of support. Figure 60 cm Knife 1 of 1 200 cm ▼ Part A How far to the right of where the string was cut does the ball hit the floor? Express your answer to two significant figures and include the appropriate units. Ax = Submit Provide Feedback μᾶ Value Request Answer Units ?

A 450.0 kg roller coaster is traveling in a circle with radius 15.0m. Its speed at point A is 28.0m/s and its speed at point B is 14.0 m/s. At point A the cart is already moving with circular motion. a) Draw free bodydiagramsfor the cartatpointsAand B(two separate free body diagrams). b) Calculate the acceleration of the cartat pointsAandB(magnitude and direction). c) Calculate the magnitude of the normal force exerted by the trackson the cartat point A. d) Calculate the magnitude of the normal force exerted by the tracks on the cart at point B.

m R A racing greyhound can run around curves at high speed. Suppose the radius of a semicircular turn on a dogtrack is 21.6 m, and the speed of a greyhound is constant at 15.1 m/s; assume the dog's mass is 22.7 kg. What is the acceleration of the greyhound on the turn? (in m/s^2) OA: 4.487 OB: 5.070 OC: 5.729 OD: 6.474 OE: 7.316 OF: 8.267 OG: 9.342 OH: 10.556